ABCD is a kite. Squares have been constructed on each of the four sides of this kite acting as a base. The centroid of each square has been determined and a quadrilateral has been constructed with these centre points as vertices.

I would like to show whether it is a trapezium or not. I think it is but i can not manage to get the proof. if anyone is interested please let me know and i'll email you the image generated by cabri for this problem. My email is gauci_mariella@hotmail.com